Use of boundary conditions to truncate biological models in electromagnetic simulations based on integral equation formulation

2002 ◽  
Author(s):  
E. Bleszynski ◽  
M. Bleszynski ◽  
T. Jaroszewicz
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Biological Models ◽  
Equation Formulation ◽  
Electromagnetic Simulations ◽  
Integral Equation Formulation

scholarly journals On the solutions of mixed plane problems that are unbounded where the boundary conditions change

2001 ◽  
Vol 32 (3) ◽  
pp. 173-180
Author(s):  
M. G. El-Sheikh ◽  
V. N. Gavdzinski ◽  
A. E. Radwan
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Infinite System ◽  
Original Method ◽  
Plane Boundary ◽  
Algebraic Equations ◽  
Typical Problem ◽  
Equation Formulation ◽  
Integral Equation Formulation

In this paper, we apply a modification to the method of the integral equation formulation of mixed plane boundary value problems so that it enables us to obtain the solutions unbounded at the points where the boundary conditions change. Such solutions are of great physical interest. The modification is illustrated by means of a typical problem. As is it the case in the original method proposed by Cherskii [1], the problem is reduced to an infinite system of algebraic equations. The justification of the truncation of such systems has been established.

On periodic water-waves and their convergence to solitary waves in the long-wave limit

1981 ◽  
Vol 303 (1481) ◽  
pp. 633-669 ◽  
Keyword(s):  
Integral Equation ◽  
Solitary Waves ◽  
Water Waves ◽  
Periodic Problem ◽  
Existence Theory ◽  
Periodic Waves ◽  
Equation Formulation ◽  
Long Wave ◽  
Integral Equation Formulation ◽  
Wave Limit

A detailed discussion of Nekrasov’s approach to the steady water-wave problems leads to a new integral equation formulation of the periodic problem. This development allows the adaptation of the methods of Amick & Toland (1981) to show the convergence of periodic waves to solitary waves in the long-wave limit. In addition, it is shown how the classical integral equation formulation due to Nekrasov leads, via the Maximum Principle, to new results about qualitative features of periodic waves for which there has long been a global existence theory (Krasovskii 1961, Keady & Norbury 1978).

An integral equation formulation for the unconfined flow of groundwater with variable inlet conditions

1995 ◽  
Vol 18 (1) ◽  
pp. 15-36 ◽  
Author(s):  
Z. -X. Chen ◽  
G. S. Bodvarsson ◽  
P. A. Witherspoon ◽  
Y. C. Yortsos
Keyword(s):  
Integral Equation ◽  
Equation Formulation ◽  
Unconfined Flow ◽  
Integral Equation Formulation ◽  
Inlet Conditions
Sign in / Sign up

Export Citation Format

Share Document